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Finding the Third Proportional to 77,605,519 and 168,989,136

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Solution

The third proportional to 77,605,519 and 168,989,136 is: 367,980,634.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,605,519 : 168,989,136 = 168,989,136 : x
  2. Step 2: Convert to fraction form
    77,605,519/168,989,136 = 168,989,136/x
  3. Step 3: Cross multiply
    77,605,519x = 168,989,136 × 168,989,136
  4. Step 4: Simplify right side
    77,605,519x = 28,557,328,086,026,496
  5. Step 5: Solve for x
    x = 28,557,328,086,026,496/77,605,519
  6. Step 6: Final answer
    x = 367,980,634.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.